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Finding the Third Proportional to 107,026 and 169,611

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Solution

The third proportional to 107,026 and 169,611 is: 268,793.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,026 : 169,611 = 169,611 : x
  2. Step 2: Convert to fraction form
    107,026/169,611 = 169,611/x
  3. Step 3: Cross multiply
    107,026x = 169,611 × 169,611
  4. Step 4: Simplify right side
    107,026x = 28,767,891,321
  5. Step 5: Solve for x
    x = 28,767,891,321/107,026
  6. Step 6: Final answer
    x = 268,793.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.